SHANGHAI, April 8 (Reuters) - China stocks fell on Monday as the market reopened after extended holidays, tracking subdued regional markets on overseas rate concerns, while investors awaited more economic data.

The broad Asian shares started the week softer, while the dollar firmed as investors weighed the timing of rate cuts by the U.S. Federal Reserve in the wake of yet another blowout jobs report.

Investors' focus this week will be on the U.S. consumer price index (CPI) report. In China, credit data, inflation readings and trade figures are also due this week.

** At the midday break, the Shanghai Composite index was down 0.17% at 3,063.95 points.

** China's blue-chip CSI300 index was down 0.45%, with its financial sector sub-index lower by 0.22%, the consumer staples sector down 2.7%, the real estate index down 0.92% and the healthcare sub-index down 1.5%.

** Chinese H-shares listed in Hong Kong rose 0.02% to 5,864.55, while the Hang Seng Index was down 0.09% at 16,709.68.

** The tepid performance comes even as Hong Kong's leader John Lee said on Monday the authorities were considering additional measures to bolster the securities market in the Asian financial hub, which has taken a hit from China's economic slowdown and geopolitical tensions.

** The smaller Shenzhen index was down 0.88%, the start-up board ChiNext Composite index was weaker by 0.96% and Shanghai's tech-focused STAR50 index was down 1.25%.

** Around the region, MSCI's Asia ex-Japan stock index was firmer by 0.17%, while Japan's Nikkei index was up 0.84%.

** Chinese property developer Shimao Group tumbled 14.3% after it said on Monday that China Construction Bank (Asia) had filed a liquidation petition against it in Hong Kong over its failure to repay loans of HK$1,579.5 million ($201.75 million).

(Reporting by Shanghai Newsroom; Editing by Sohini Goswami)